Finding the Fourth Proportional to 2,005.75, 3,002.24 and 1,306.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.75 : 3,002.24 = 1,306.82 : x
2. Step 2: Convert to fraction form
   2,005.75/3,002.24 = 1,306.82/x
3. Step 3: Cross multiply
   2,005.75x = 3,002.24 × 1,306.82
4. Step 4: Simplify right side
   2,005.75x = 3,923,387.28
5. Step 5: Solve for x
   x = 3,923,387.28/2,005.75
6. Step 6: Final answer
   x = 1,956.07